Class 10 Exam > Class 10 Questions > The LCM of 2numbers is 45 times their HCF. If...
Start Learning for Free
The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number?
Most Upvoted Answer
The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 a...
Problem Statement:
The LCM of 2 numbers is 45 times their HCF. If 1 of the numbers is 225 and the sum of their LCM and HCF is 1150, find the other number.
Solution:
Let us assume the two numbers to be x and 225.
Given that the LCM of these two numbers is 45 times their HCF.
We know that LCM × HCF = Product of the two numbers.
Thus, LCM (x, 225) = 45 × HCF (x, 225)
LCM (x, 225) = 45 × 225 (since HCF of 225 and any number is the number itself)
LCM (x, 225) = 10125
Now, the sum of their LCM and HCF is 1150.
LCM (x, 225) + HCF (x, 225) = 1150
10125 + HCF (x, 225) = 1150
HCF (x, 225) = 1150 - 10125
HCF (x, 225) = -8975 (which is not possible as HCF is always positive)
So, there is a mistake in the problem statement or data mentioned.
There is no other number that satisfies the given conditions.
Therefore, the answer to the problem is that there is no other number that satisfies the given conditions.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number?
Question Description
The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number?.
The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number?.
Solutions for The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? defined & explained in the simplest way possible. Besides giving the explanation of
The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number?, a detailed solution for The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? has been provided alongside types of The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? theory, EduRev gives you an
ample number of questions to practice The LCM of 2numbers is 45 times their HCF. If 1 of the number is 225 and sum of their LCM and HCF is 1150 , find the other number? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup